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5143986040 = 2356113071613
BaseRepresentation
bin1001100101001101…
…01111111101111000
3111021111022120021111
410302212233331320
541013330023130
62210233250104
7241321105564
oct46246577570
914244276244
105143986040
1121aa711936
12bb6863934
1363c93332b
1436b2626a4
152018e902a
hex1329aff78

5143986040 has 64 divisors (see below), whose sum is σ = 11780004960. Its totient is φ = 2021061120.

The previous prime is 5143985989. The next prime is 5143986049. The reversal of 5143986040 is 406893415.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5143985984 and 5143986002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5143986049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3188274 + ... + 3189886.

Almost surely, 25143986040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5143986040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5890002480).

5143986040 is an abundant number, since it is smaller than the sum of its proper divisors (6636018920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5143986040 is a wasteful number, since it uses less digits than its factorization.

5143986040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 5143986040 is about 71721.5869874615. The cubic root of 5143986040 is about 1726.2350368528.

The spelling of 5143986040 in words is "five billion, one hundred forty-three million, nine hundred eighty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 1307 1613 2440 2614 3226 5228 6452 6535 8065 10456 12904 13070 16130 26140 32260 52280 64520 79727 98393 159454 196786 318908 393572 398635 491965 637816 787144 797270 983930 1594540 1967860 2108191 3189080 3935720 4216382 8432764 10540955 16865528 21081910 42163820 84327640 128599651 257199302 514398604 642998255 1028797208 1285996510 2571993020 5143986040